Exact solutions to three-dimensional Schrodinger equation with an exponentially position-dependent mass

被引：0

作者：

Cai, CY ^{[1
]}

Ren, ZZ

Ju, GX

机构：

[1] Nanjing Univ, Dept Phys, Nanjing 210008, Peoples R China

[2] Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China

[3] Jinggangshan Univ, Dept Phys, Jian 343009, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2005年 / 43卷 / 06期

关键词：

Schrodinger equation; exact solutions; coordinate transformation; effective mass;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For an exponentially position-dependent mass, we obtain the exact solutions of the three-dimensional Schrodinger equation by using coordinate transformation method for the reference problems with Coulomb potential, Kratzer potential, and spherically square potential well of infinite depth, respectively. The explicit expressions for the energy eigenvalues and the corresponding eigenfunctions of the three systems are presented.

引用

页码：1019 / 1022

页数：4

共 50 条

[1] Exact Solutions to Three-Dimensional Schrodinger Equation with an Exponentially Position-Dependent Mass
CAI Chang-Ying
REN Zhong-Zhou
JU Guo-Xing Department of Physics
CommunicationsinTheoreticalPhysics, 2005, 43 (06) : 1019 - 1022
[2] Exact solutions of the position-dependent mass Schrodinger equation in D dimensions
Chen, G
Chen, ZD
PHYSICS LETTERS A, 2004, 331 (05) : 312 - 315
[3] Coordinate transformation and exact solutions of Schrodinger equation with position-dependent effective mass
Ju Guo-Xing
Cai Chang-Ying
Xiang Yang
Ren Zhong-Zhou
COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 47 (06) : 1001 - 1009
[4] Exact Solutions of Schrodinger Equation for the Position-Dependent Effective Mass Harmonic Oscillator
Amir, Naila
Iqbal, Shahid
COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 62 (06) : 790 - 794
[5] Exact analytic solution of position-dependent mass Schrodinger equation
Rajbongshi, H.
INDIAN JOURNAL OF PHYSICS, 2018, 92 (03) : 357 - 367
[6] Exact solutions of the Schrodinger equation with the position-dependent mass for a hard-core potential
Dong, SH
Lozada-Cassou, M
PHYSICS LETTERS A, 2005, 337 (4-6) : 313 - 320
[7] Nonperturbative solutions for one-dimensional Schrodinger equation with position-dependent mass
Solimannejad, M
Moayedi, SK
Tavakoli, M
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2006, 106 (05) : 1027 - 1031
[8] The Schrodinger equation with position-dependent mass
Killingbeck, J. P.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (28)
[9] Analytical solutions of the three-dimensional Schrodinger equation with an exponentially changing effective mass
Cai, CY
Ren, ZZ
Ju, GX
ACTA PHYSICA SINICA, 2005, 54 (06) : 2528 - 2533
[10] Exact solutions to three-dimensional time-dependent Schrodinger equation
Chand, Fakir
Mishra, S. C.
PRAMANA-JOURNAL OF PHYSICS, 2007, 68 (06): : 891 - 900

← 1 2 3 4 5 →